MATLAB functions for generating 3D synthetic polycrystalline microstructures using Laguerre tessellations, including fast algorithms for generating grains of prescribed volumes.
To use these MATLAB functions you must first install
- MATLAB-Voro
- MATLAB-SDOT
- MatGeom by David Legland
Replace the file matGeom/meshes3d/intersectPlaneMesh.m
with the version in this repository.
See the Examples
folder for examples from the following papers:
- Bourne, D.P., Pearce, M. & Roper, S.M. (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport, Mechanics Research Communications, 127, 104023. PDF
- Bourne, D.P., Kok, P.J.J., Roper, S.M. & Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes, Philosophical Magazine, 100, 2677-2707. PDF
See LICENCE.md
- pyAPD - our 'sister repository' for computing anisotropic Laguerre diagrams with grains of prescribed volumes
- DREAM.3D
- Kanapy
- Neper
These MATLAB functions were written by
- Steve Roper, University of Glasgow
- David Bourne, Heriot-Watt University and the Maxwell Institute for Mathematical Sciences
- Mason Pearce, Heriot-Watt University and the Maxwell Institute for Mathematical Sciences
This work was in collaboration with Piet Kok (Universiteit Gent, Tata Steel) & Wil Spanjer (Tata Steel).